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Finding the Fourth Proportional to 3,286.90, 4,927.92 and 1,553.50

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Solution

The fourth proportional to 3,286.90, 4,927.92 and 1,553.50 is: 2,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.90 : 4,927.92 = 1,553.50 : x
  2. Step 2: Convert to fraction form
    3,286.90/4,927.92 = 1,553.50/x
  3. Step 3: Cross multiply
    3,286.90x = 4,927.92 × 1,553.50
  4. Step 4: Simplify right side
    3,286.90x = 7,655,523.72
  5. Step 5: Solve for x
    x = 7,655,523.72/3,286.90
  6. Step 6: Final answer
    x = 2,329.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.